40146354400 has 36 divisors (see below), whose sum is σ = 98007289632. Its totient is φ = 16058541440.

The previous prime is 40146354343. The next prime is 40146354419. The reversal of 40146354400 is 445364104.

It is a super-2 number, since 2×40146354400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25090672 + ... + 25092271.

It is an arithmetic number, because the mean of its divisors is an integer number (2722424712).

Almost surely, 2^40146354400 is an apocalyptic number.

40146354400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40146354400 is an abundant number, since it is smaller than the sum of its proper divisors (57860935232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40146354400 is a wasteful number, since it uses less digits than its factorization.

40146354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50182963 (or 50182950 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 40146354400 in words is "forty billion, one hundred forty-six million, three hundred fifty-four thousand, four hundred".